
Accession Number : ADA190036
Title : Development and Application of the pVersion of the Finite Element Method.
Descriptive Note : Final rept. 30 Sep 8530 Sep 87,
Corporate Author : WASHINGTON UNIV ST LOUIS MO DEPT OF SYSTEMS SCIENCE AND MATHEMATICS
Personal Author(s) : Katz, I N ; Szabo, Barna A ; Greensfelder, A P
PDF Url : ADA190036
Report Date : 30 Dec 1987
Pagination or Media Count : 30
Abstract : The pversion of the finite element method is a new, important, computationally efficient, approach to finite element analysis. It is more robust than the conventional hversion and its rate of convergence, for domains with corners and for other singularity problems, is twice that of the hversion. Hierarchic elements which implement the pversion efficiently have been formulated so as to enforce C superscript 0 or C superscript 1 continuity in the planar case, and so as to enforce C superscript 0 continuity in three dimensions. Recent research accomplishments include: 1. Development of an algorithm that finds all roots of an analytic function in a finite domain. 2. Preprocessing procedures to restrict the search in unbounded domains which contain roots to bounded domains. 3. A reliable numerical argument principle algorithm to compute number of zeros within a closed contour. 4. Formulation of equations which determine the nature of stress singularity at a corner of a plate composed of n isotropic materials. All of the above are used in the extraction method for pversion finite element analysis of composite materials with corners.
Descriptors : *FINITE ELEMENT ANALYSIS, ALGORITHMS, COMPOSITE MATERIALS, CONVERGENCE, EQUATIONS, EXTRACTION, FORMULATIONS, PREPROCESSING, RATES, STRESSES, EIGENVALUES
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE